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Finding the Fourth Proportional to 97,004.52, 133,865.46 and 54,567

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Solution

The fourth proportional to 97,004.52, 133,865.46 and 54,567 is: 75,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,004.52 : 133,865.46 = 54,567 : x
  2. Step 2: Convert to fraction form
    97,004.52/133,865.46 = 54,567/x
  3. Step 3: Cross multiply
    97,004.52x = 133,865.46 × 54,567
  4. Step 4: Simplify right side
    97,004.52x = 7,304,636,555.82
  5. Step 5: Solve for x
    x = 7,304,636,555.82/97,004.52
  6. Step 6: Final answer
    x = 75,302.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.